Answer:
center = (3, 0)
radius = 2
Step-by-step explanation:
Standard equation of a circle: 
(where (h, k) is the center of the circle and r is the radius)
Given equation:

Rewrite in standard form:

Therefore
- center = (3, 0)
- radius = 2
The airplane reaches its maximum height of 81 feet in 12 seconds.
<h3>Behavior of curves</h3>
If y =
, it means that the second derivate is 2 which is positive, then there is a minimum turning point.
If y = -
, it means that the second derivative will be -2 which is negative, then there is a maximum turning point.
Analysis:
h(t) = -
+ 81
By expanding,
h(t) = -(
- 24t + 144) +81
h(t) = -
+ 24t - 144 + 81
h(t) = -
+ 24t - 63
at turning point d/dt(h(t)) = 0
d/dt (h(t)) = -2t +24
-2t +24 = 0
if we differentiate again, second derivative is -2 which is negative, so it is a maximum point.
2t = 24
t = 12 seconds
h(t) at t = 12
h(t) =
+ 24(12) - 63 = 81 feet
In conclusion, the maximum height of the airplane after 12 seconds is 81 feet.
Learn more about minimum and maximum points: brainly.com/question/14993153
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The probability that a student, chosen at random, does not study chemistry is 20/41.
<h3>
What is Probability?</h3>
Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event. For an experiment having 'n' number of outcomes, the number of favorable outcomes can be denoted by x. The formula to calculate the probability of an event is as follows.
Probability(Event) = Favorable Outcomes/Total Outcomes = x/n
Here, Total number of student = 41
Student who does not study chemistry = 20
So, the probability = favorable outcome / total outcomes
P(not studying chemistry) = 20 / 41
Thus, The probability that a student, chosen at random, does not study chemistry is 20/41.
Learn more about Probability from:
brainly.com/question/11234923
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Answer:
72
Step-by-step explanation:
<u>Given:</u>
There were 120 people in total.
60% were parents.
<u>To find:</u>
Number of parents attended.
Solution:
1. 60% of 120
It can also be written as:

Simplify

- Divide by common factor (2)

2. 
Multiply

Divide

Therefore, 72 parents attended the game.
I think u divide those 2 numbers not sure thou